Abstract

(a) If you crumple up a map of Berkeley (without tearing) and place it on
top of an identical map, there are two places in Berkeley whose images on
the two maps lie one on top of the other.

(b) Three or more people (whose preferences are not too erratic) can
always divide a cake amongst themselves so that each person thinks her
piece is the largest piece.

Answer: they have almost exactly the same proof! Come to the talk to find
out what that proof is. I'll also talk about a real-world application: how
four Berkeley students sharing an apartment with unequal-size bedrooms can
divide up their rent so that each person thinks he's getting the best of
the deal.